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Of three independent events, the chance ...

Of three independent events, the chance that only the first occurs is `a ,` the chance that only the second occurs is `b ,` and the chance of only the third is `c`. Show that the chances of three events are respectively, `a/(a+x),b/(b+x),c/(c+x)` where `x` is a root of the equation `(a+x)(b+x)(c+x)=x^2`

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